Least Common Multiple of 554/489, 8281/4032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/489, 8281/4032 quickly i.e. 4587674/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/489, 8281/4032 is 4587674/3.

LCM(554/489, 8281/4032) = 4587674/3

LCM of 554/489, 8281/4032

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 554/489,8281/4032

Given numbers are 554/489,8281/4032

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 554,8281

Least Common Multiple of Numerators i.e. LCM of 554,8281 is 4587674.

GCF of Denominators means GCF of 489,4032 as per the given fractions.

GCF of 489,4032 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,8281

LCM of Fractions 554/489,8281/4032 is 4587674/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 4587674

Least Common Multiple of 554,8281 with GCF Formula

Least Common Multiple of 554,8281 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 554,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,8281) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(554,8281) x common factors =1 x 1 = 1

LCM(554,8281) = ( 554 × 8281 ) / 1

LCM(554,8281) = 4587674 / 1

LCM(554,8281) = 4587674


Lets's calculate GCF of 489,4032

3 489, 4032
163, 1344

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4587674/3

Therefore the LCM of Fractions 554/489,8281/4032 is 4587674/3

Greatest Common Factor of 489,4032 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,4032 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Greatest Common Factor

We found the factors 489,4032 . The biggest common factor number is the GCF number.
So the greatest common factor 489,4032 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 554/489, 8281/4032

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 554/489, 8281/4032?

Answer: LCM of Numerators as per given numbers 554/489, 8281/4032 is

LCM of Numerators i.e. for 554,8281 is 4587674

GCF of denominators i.e. for 489,4032 is 3.

Thus, LCM of Fractions is 4587674/3.Finally, LCM of Fractions for 554/489, 8281/4032 is 4587674/3.